Dynamics of Endomorphism of Finite Abelian Groups
We study the dynamics of endomorphisms on a finite abelian group. We obtain the automorphism group for these dynamical systems. We also give criteria and algorithms to determine whether it is a fixed point system.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/6295430 |
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| _version_ | 1849306729932652544 |
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| author | Zhao Jinxing Nan Jizhu |
| author_facet | Zhao Jinxing Nan Jizhu |
| author_sort | Zhao Jinxing |
| collection | DOAJ |
| description | We study the dynamics of endomorphisms on a finite abelian group. We obtain the automorphism group for these dynamical systems. We also give criteria and algorithms to determine whether it is a fixed point system. |
| format | Article |
| id | doaj-art-31419c9ade0d48a39d5ff9cb611d83cd |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-31419c9ade0d48a39d5ff9cb611d83cd2025-08-20T03:55:00ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/62954306295430Dynamics of Endomorphism of Finite Abelian GroupsZhao Jinxing0Nan Jizhu1School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaWe study the dynamics of endomorphisms on a finite abelian group. We obtain the automorphism group for these dynamical systems. We also give criteria and algorithms to determine whether it is a fixed point system.http://dx.doi.org/10.1155/2017/6295430 |
| spellingShingle | Zhao Jinxing Nan Jizhu Dynamics of Endomorphism of Finite Abelian Groups Discrete Dynamics in Nature and Society |
| title | Dynamics of Endomorphism of Finite Abelian Groups |
| title_full | Dynamics of Endomorphism of Finite Abelian Groups |
| title_fullStr | Dynamics of Endomorphism of Finite Abelian Groups |
| title_full_unstemmed | Dynamics of Endomorphism of Finite Abelian Groups |
| title_short | Dynamics of Endomorphism of Finite Abelian Groups |
| title_sort | dynamics of endomorphism of finite abelian groups |
| url | http://dx.doi.org/10.1155/2017/6295430 |
| work_keys_str_mv | AT zhaojinxing dynamicsofendomorphismoffiniteabeliangroups AT nanjizhu dynamicsofendomorphismoffiniteabeliangroups |